tex4ht has strange characters at end of section titles when using cprotect

Question

I use cprotect package so I can use math in section titles. It works OK in pdf, but tex4ht generates strange characters at end of section title.

If I do not use cprotect, then it will not compile in tex4ht.

Is there a way around this? MWE

\documentclass[12pt,notitlepage]{book}
\usepackage{cprotect}
\usepackage{amsmath}
\begin{document}
\title{my book}
\chapter{Listing of integrals}
\cprotect\section{\quad $\int e^x \left(1-x^3+x^4-x^5+x^6\right) \, dx$}

stuff

\cprotect\section{\quad $\int \frac{e^{\frac{x}{2+x^2}} \left(2-x^2\right)}{2 x+x^3} \, dx$}
text
\end{document}

Compiled using

 make4ht -ulm default -a debug t.tex "htm,3,mathjax,notoc*,p-width"

gives

If I do not use \cprotect then it gives compile error.

(/usr/local/texlive/2019/texmf-dist/tex/generic/tex4ht/html5.4ht))
(./report.aux) (/usr/local/texlive/2019/texmf-dist/tex/latex/base/ts1cmr.fd)
[1] [2]
Chapter 1.
(./report.4ct (./report-1.cpt) (./report-2.cpt))
(/usr/local/texlive/2019/texmf-dist/tex/latex/lm/ot1lmtt.fd)
! Argument of \im:g has an extra }.
<inserted text>
\par
l.9 ...nt e^x \left(1-x^3+x^4-x^5+x^6\right) \, dx$}

?

Important Please note that the math itself used in section titles in auto-generated by computer algebra system and I did not write the math. A large program runs which read these math equations and use each for section titles. So editing the math is not possible or practical.

TL 2019

Answer 1

I think your original problem is the same as here: https://tug.org/pipermail/tex4ht/2018q4/002114.html

My solution for this was to create \fixmathjaxtoc command, which prevents commands at the moment when they are written to TOC from expansion. It seems this command don't work for \left and \right, because they fail at the moment they are used in the section. As a workaround, you can disable their expansion completely. As math is handled by MathJax, it doesn't cause any harm:

\Preamble{xhtml}

\def\right{\detokenize{\right}}
\def\left{\detokenize{\left}}
\begin{document}
\EndPreamble

Answer 2

If you correct the markup, removing \left\right then it works in htlatex (cprotect seems unnecessary here in htlatex or pdflatex)

I get html rendering of

\documentclass[12pt,notitlepage]{book}

\usepackage{amsmath}
\begin{document}
\title{my book}
\tableofcontents
\chapter{Listing of integrals}
\section{\quad $\int e^x (1-x^3+x^4-x^5+x^6) \, dx$}

stuff

\section{\quad $\int \frac{e^{\frac{x}{2+x^2}} (2-x^2)}{2 x+x^3} \, dx$}
text
\end{document}